Question 1

An object is placed in front of a lens which forms an image of the object.

Accepted Answer

A)  If the lens is convex, the image cannot be virtual. 
B)  If the image is real, then it is also inverted. 
C)  If the image is real, then it is also upright. 
D)  If the image is virtual, then it is also inverted. 
E)  If the image is virtual, the lens must be a diverging lens. 
A)  If the lens is convex, the image cannot be virtual. 
B)  If the image is real, then it is also inverted. 
C)  If the image is real, then it is also upright. 
D)  If the image is virtual, then it is also inverted. 
E)  If the image is virtual, the lens must be a diverging lens. B

Question 2

In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

Accepted Answer

A)  +32.0 cm 
B)  -32.0 cm 
C)  -16.0 cm 
D)  +13.8 cm 
E)  -13.8 cm 
A)  +32.0 cm 
B)  -32.0 cm 
C)  -16.0 cm 
D)  +13.8 cm 
E)  -13.8 cm A

Question 3

A tank holds a 1.44-m thick layer of oil that floats on a 0.96-m thick layer of brine.Both liquids are clear and do not intermix.Point O is at the bottom of the tank,on a vertical axis.The indices of refraction of the oil and the brine are 1.40 and 1.52,respectively.A ray originating at O crosses the brine-oil interface at a point 0.60 m from the axis.The ray continues and emerges into the air above the oil.What is the angle that the ray in the air makes with the vertical?

Accepted Answer

A)  48° 
B)  51° 
C)  54° 
D)  57° 
E)  60° 
A)  48° 
B)  51° 
C)  54° 
D)  57° 
E)  60° C

Question 4

A ray of light consisting of blue light (wavelength 480 nm)and red light (wavelength 670 nm)is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.)

Accepted Answer

A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54° 
A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54°

Question 5

An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm.A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.Where is the final image formed?

Accepted Answer

A)  30 cm after the second lens 
B)  20 cm in front of the first lens 
C)  3.0 meters before the second lens 
D)  100 cm after the second lens 
E)  3.0 cm before the second lens 
A)  30 cm after the second lens 
B)  20 cm in front of the first lens 
C)  3.0 meters before the second lens 
D)  100 cm after the second lens 
E)  3.0 cm before the second lens

Question 6

A glass plate whose index of refraction is 1.56 is immersed in a liquid.The surface of the glass is inclined at an angle of 42.0° with the vertical.A horizontal ray in the glass is incident on the interface.When the liquid is a certain alcohol,the incident ray arrives at the interface at the critical angle.What is the index of refraction of the alcohol?

Accepted Answer

A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06 
A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06

Question 7

An object is placed 10 cm from a convex lens of focal length 20 cm.What is the lateral magnification of the object?

Accepted Answer

A)  0.50 
B)  1.0 
C)  1.5 
D)  2.0 
E)  2.5 
A)  0.50 
B)  1.0 
C)  1.5 
D)  2.0 
E)  2.5

Question 8

In the figure,a laser positioned on a ship is used to communicate with a small two-man research submarine resting on the bottom of a lake.The laser is positioned 12 m above the surface of the water,and it strikes the water 20 m from the side of the ship.The water is 76 m deep and has an index of refraction of 1.33.How far horizontally is the submarine from the side of the ship?

Accepted Answer

A)  84.1 m 
B)  64.1 m 
C)  104 m 
D)  74.1 m 
E)  94.1 m 
A)  84.1 m 
B)  64.1 m 
C)  104 m 
D)  74.1 m 
E)  94.1 m

Question 9

An object is 12 cm in front of a concave spherical mirror,and the image is 3.0 cm in front of the mirror. What is the focal length of the mirror?

Accepted Answer

A)  0.25 cm 
B)  15 cm 
C)  4.0 cm 
D)  2.4 cm 
E)  1.3 cm 
A)  0.25 cm 
B)  15 cm 
C)  4.0 cm 
D)  2.4 cm 
E)  1.3 cm

Question 10

A convex lens has focal length f.If an object is located extremely far from the lens (at infinity),the image formed is located what distance from the lens?

Accepted Answer

A)  infinity 
B)  2f 
C)  between f and 2f 
D)  f 
E)  between the lens and f 
A)  infinity 
B)  2f 
C)  between f and 2f 
D)  f 
E)  between the lens and f

Question 11

An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror.The radius of curvature of the mirror has a magnitude of 52 cm.
(a)How far is the image from the vertex of the mirror?
(b)What is the height of the image?

Accepted Answer

The answer of An object 3.4 mm tall is placed...

Question 12

An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day.What is the angle of refraction in the water for a ray of light that has an angle of incidence of 45° as it enters the oil from the air above? (The index of refraction for the oil is 1.15,and for water it is 1.33.)

Accepted Answer

A)  27° 
B)  32° 
C)  36° 
D)  39° 
E)  52° 
A)  27° 
B)  32° 
C)  36° 
D)  39° 
E)  52°

Question 13

Light strikes a 5.0-cm thick sheet of glass at an angle of incidence in air of 50°.The sheet has parallel faces and the glass has an index of refraction 1.50.
(a)What is the angle of refraction in the glass?
(b)After traveling through the glass the light re-emerges into the air.What is the final angle of refraction in air?
(c)As it leaves the glass,by what distance is the path of the ray is displaced from what it was before entering the glass?

Accepted Answer

(a)31° 
(b

Question 14

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30.What is the critical angle of this fiber at the glass-plastic interface?

Accepted Answer

A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1° 
A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1°

Question 15

When light goes from one material into another material having a HIGHER index of refraction

Accepted Answer

A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same. 
A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same.

Question 16

Light consisting of a mixture of red and blue light enters a 40°,70°,70° prism along a line parallel to the side opposite the 40° vertex.The index of refraction of the prism material for blue light is 1.530,and for red light it is 1.525.What is the angle between the two emerging beams of light?

Accepted Answer

A)  0.5° 
B)  0.9° 
C)  0.1° 
D)  0.3° 
E)  0.7° 
A)  0.5° 
B)  0.9° 
C)  0.1° 
D)  0.3° 
E)  0.7°

Question 17

What is the critical angle for light traveling from crown glass (n = 1.52)into water (n = 1.33)?

Accepted Answer

A)  42° 
B)  48° 
C)  53° 
D)  57° 
E)  61° 
A)  42° 
B)  48° 
C)  53° 
D)  57° 
E)  61°

Question 18

The spherical side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following,20 m behind the mirror.If the height of the car is 1.6 m,how tall is its image?

Accepted Answer

A)  5.0 cm 
B)  2.0 cm 
C)  4.0 cm 
D)  3.0 cm 
E)  0.99 cm 
A)  5.0 cm 
B)  2.0 cm 
C)  4.0 cm 
D)  3.0 cm 
E)  0.99 cm

Question 19

A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

Accepted Answer

A)  50 cm 
B)  20 cm 
C)  15 cm 
D)  7.5 cm 
E)  5.0 cm 
A)  50 cm 
B)  20 cm 
C)  15 cm 
D)  7.5 cm 
E)  5.0 cm

Question 20

The critical angle in air for a particular type of glass is 39.0°.What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s 
A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s

Exam 33: Ray Optics

An object is placed in front of a lens which forms an image of the object.

In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm.A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.Where is the final image formed?

An object is placed 10 cm from a convex lens of focal length 20 cm.What is the lateral magnification of the object?

An object is 12 cm in front of a concave spherical mirror,and the image is 3.0 cm in front of the mirror. What is the focal length of the mirror?

A convex lens has focal length f.If an object is located extremely far from the lens (at infinity),the image formed is located what distance from the lens?

An object 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror.The radius of curvature of the mirror has a magnitude of 52 cm. (a)How far is the image from the vertex of the mirror? (b)What is the height of the image?

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30.What is the critical angle of this fiber at the glass-plastic interface?

When light goes from one material into another material having a HIGHER index of refraction

Light consisting of a mixture of red and blue light enters a 40°,70°,70° prism along a line parallel to the side opposite the 40° vertex.The index of refraction of the prism material for blue light is 1.530,and for red light it is 1.525.What is the angle between the two emerging beams of light?

What is the critical angle for light traveling from crown glass (n = 1.52)into water (n = 1.33)?

The spherical side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following,20 m behind the mirror.If the height of the car is 1.6 m,how tall is its image?

A concave spherical mirror with a radius of 20 cm creates a real image 30 cm from the mirror. How far is the object from the mirror?

The critical angle in air for a particular type of glass is 39.0°.What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

Foundations

A: Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Wave and Particle Optics

Filters

The critical angle in air for a particular type of glass is 39.0°.What is the speed of light in this class glass? (c = 3.00 × 10⁸ m/s)